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Finding the Fourth Proportional to 15,503.88, 23,258.70 and 7,178.40

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Solution

The fourth proportional to 15,503.88, 23,258.70 and 7,178.40 is: 10,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.88 : 23,258.70 = 7,178.40 : x
  2. Step 2: Convert to fraction form
    15,503.88/23,258.70 = 7,178.40/x
  3. Step 3: Cross multiply
    15,503.88x = 23,258.70 × 7,178.40
  4. Step 4: Simplify right side
    15,503.88x = 166,960,252.08
  5. Step 5: Solve for x
    x = 166,960,252.08/15,503.88
  6. Step 6: Final answer
    x = 10,768.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.